At East Junior High School, there are a total of 1175 students in the 7th and 8th
grade classes combined. The 8th-grade class has 75 more students than the 7th-grade class.
A. Let x represent the number of students in the 7th-grade class, while y
represents the number of students in the 8th-grade class. Write a system
to model this situation.
B. Solve the system to determine the number of students in the 7th-grade
class and the number of students in the 8th-grade class.
# of 7th graders = _____ # of 8th graders = _____

Answer:

$16

Step-by-step explanation:

If 3 rides cost $28 and 6 rides cost 40, each ride costs $4. 28 - (3 x 4) = $16 admission fee

Answer:

triangel, hexagon, square

Step-by-step explanation:

because thy are just better then the oters and hexagons are more famous

Answer: the answer is below!!!!!!

Step-by-step explanation:

first: take 28 and divide it by 2 and you will get 14

now take 2 and divide it by 2 and you will get 1

now take the 14 put it over 1 like this------>14/1

Second:take the 5 and divide it by 2 and you get 2.5

not take the 2 and divide it by 2 and you get 1

now take 2.5 and put it over the 1 like this-------->2.5/1

third: take the 3 and divide it by 3/4  

Answer:

9 - 7x - x²

Step-by-step explanation:

-4x+2x2-x²+5-3x = -4x-3x+2x2+5-x²

I arranged the like terms together so it is easier to do the calculations.

-4x-3x+2x2+5-x² = -7x+4+5-x²

Simplify.

-7x+4+5-x² = 9-7x-x²

Answer:

[tex]x^{2} -7x+5[/tex]

Step-by-step explanation:

First, organize it by highest degrees: [tex]2x^{2} -x^{2} -4x-3x+5[/tex]

Then combine like terms: [tex]x^{2} -7x+5[/tex]

Answer:

Hi, parrot

Step-by-step explanation:

Please give me brainliest

Answer:

Always true

Step-by-step explanation:

The definition of an interior or internal angle bisector is the the dividing line segment that splits the angle into two  equal angles (parts)

Therefore, given that the segment BD is the bisector of ∠ABC, then the formed angles m∡ABD and m∡DBC are, by definition of bisected ∠ABC, always congruent

Answer:

b and d

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Yes, the equation is in standard from because the way standard form is written is: Ax+By=C.

Hope this helps! Have a great day!! （*^w^*）

Answer:

-7 1/7

Step-by-step explanation:

Answer:

a or 7 1/7

Step-by-step explanation:

Answer:

y-4x=-2

Step-by-step explanation:

standard form is just putting both variables on the same side.

hope this helps :)

Answer:

Step-by-step explanation:

c.

Answer:

(x+10)/5

Step-by-step explanation:

Given the function

g(x) = 5(x-2)

Open the parenthesis

g(x) = 5x-10

To find the inverse we need to follow the steps;

Step 1; make y as g(x)

y = 5x-10

Step 2; replace y with x;

x = 5y - 10

Step 3; make y the subject of the formula;

x = 5y-10

5y = x+10

y = (x+10)/5

Step 4: substitute y as g^(-1)(x)

g^(-1)(x) = (x+10)/5

Hence the inverse of the function is (x+10)/5

Answer: x+10/5

Step-by-step explanation:

Same as above

Answer:

[tex]s = \frac{5i}{-2-6i} = -\frac{30}{40}-\frac{10}{40}i[/tex]

Step-by-step explanation:

We have the following complex number [tex]s = \frac{5i}{-2-6i}[/tex], we proceed to simplify the expression as follows:

1) [tex]\frac{5i}{-2-6i}[/tex] Given.

2) [tex](5i)\cdot (-2-6i)^{-1}[/tex] Definition of division.

3) [tex][(5i)\cdot (-2-6i)^{-1}]\cdot [(-2+6i)\cdot (-2+6i)^{-1}][/tex] Modulative and associative properties/Existence of the additive inverser

4) [tex][(5i)\cdot (-2+6i)]\cdot [(-2-6i)^{-1}\cdot (-2+6i)^{-1}][/tex] Commutative and associative properties.

5) [tex][(5i)\cdot (-2+6i)]\cdot [(-2-6i)\cdot (-2+6i)]^{-1}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

6) [tex][(5i)\cdot (-2+6i)]\cdot [4+36]^{-1}[/tex]    [tex](a+b)\cdot (a-b) = a^{2}-b^{2}[/tex]/Definition of complex number/  [tex]a\cdot (-b) = -a\cdot b[/tex]

7) [tex][(5i)\cdot (-2)+(5i)\cdot (6i)]\cdot 40^{-1}[/tex] Definition of sum.

8) [tex](-10\cdot i+30\cdot i^{2})\cdot 40^{-1}[/tex]    [tex]a\cdot (-b) = -a\cdot b[/tex]/Associative and commutative properties.

9) [tex](-30-10i)\cdot 40^{-1}[/tex] Commutative properties/Definition of complex number/ [tex]a\cdot (-b) = -a\cdot b[/tex]

10) [tex]-30\cdot 40^{-1}-(10i)\cdot 40^{-1}[/tex] Distributive property.

11) [tex]-\frac{30}{40}-\frac{10}{40}i[/tex] Definition of division/Result.

[tex]s = \frac{5i}{-2-6i} = -\frac{30}{40}-\frac{10}{40}i[/tex]

Answer:

20 for de first one and answer (B) for the second.

Step-by-step explanation:

20 for de first one and answer (B) for the second.

hope this helped;3

Answer:

75°

Step-by-step explanation:

we can form a triangle to help us understand how to solve this problem:

                                                    puppy

∠ Leslie = 35°                                                   ∠ Surekha = 70°

If Leslie's angle is 35° and Surekha's angle is 70°, that gives us a total of 105°. Since the sum of the triangle's three angles is 180°, then the angle at which they will meet is 180° - 105° = 75°

In this exercise, we have to calculate the angle of the path that they met, so we will have:

75°

We know that the geometric figure in question is a triangle and that the sum of its internal angles must be equal to 180 degrees, thus:

[tex]180-105=X\\180-105=75\\[/tex]

See more about triangles at brainly.com/question/2269348

Answer:

-4

Step-by-step explanation:

3+1 = 4 so just put a dash at the start and you ger -4

Answer:

your answer is not perpendicular

Step-by-step explanation:

so first you put the y which is -2 and the -x with -3

[tex]-2=(-3)-4[/tex]

when you subtract the -3 from 4 you will get 7

[tex]4-(-3)=7[/tex]

7 is not equal to -2 so it is not perpendicular

[tex]7\neq -2[/tex]

Answer:

2a. 9854, 24219, 30045

2b. 7986, 17213, 19000, 88344

3a. 108359

3b. 41059

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Answer:

Q2. a. 9854; 24219; 30045

Q2. b. 7986; 17213; 19000; 88344

Q3 a. 108349

Q3 b. 41059

Answer:

C

Step-by-step explanation:

Answer:

B. 2,324 inches

Step-by-step explanation:

You need to find the circumference of the bike wheels first so that you know how much she would travel if her wheels rotated 1 time. Circumference of circle = pi × d

1 time = 20pi

37 times = 20pi × 37

              = 740pi

              = 2324.778564...inches

The diameter of a cartwheel is 2.1 m. Find the distance travelled when it completes 100 revolutions.

You need to find the circumference of the cartwheels first so that you know how much it would travel if her wheels revoluted 1 time. Circumference of circle = pi × d

1 revolution = 2.1pi

100 revolutions = 2.1pi × 100

                          = 210pi

                          = 659.7344573...m

The diameter of a circular park is 98 m. Find the cost of fencing it at $4 per meter.

You need to find the circumference of the park first so that you know how much it would cost. Circumference of circle = pi × d

Circumference of park = 98pi

Cost of fencing = 4 × 98pi

                          = 392pi

                          = $1231.50

                          ≈ $1232.00

Answer:

Option 2

Step-by-step explanation:

∠CAB ≅ ∠CED (Given)

∠ACB ≅ ∠ECD (Vertical angles)

2). AA

Answer:

The sides are 14.6, 14.6, 9.6

Step-by-step explanation:

Step one:

given

Perimeter= 49

let the equal sides of the triangle be x

so the third side will be x-5

hence the first side is=x

the second side =x

and the third side=x-5

the perimeter of triangle is

P= A+B+C

where A B and C represents all the sides

49=x+x+(x-5)

solve for x

49=2x+x-5

49=3x-5

49-5=3x

44=3x

x=44/3

x=14.6

Hence the third side is

=x-5=14.6-5

=9.6

The sides are 14.6, 14.6, 9.6

Answer:

18 for same length and 13 for 3 length

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given functions

Finding (r-s)(x), (r+s)(x), (r*s)(-1)

Answer:

1. - 2x² + x + 4

2. 2x² + x + 4

3. Answer = 3

Example functions we are given:

r(x) = x + 4

s(x) = 2x²

Now, we Find (r-s)(x), (r+s)(x), (r*s)(-1)

(r - s)(x) = r(x) - s(x) = x + 4 - 2x² = - 2x² + x + 4

(r + s)(x) = r(x) + s(x) = x + 4 + 2x² =  2x² + x + 4

(r*s)(-1) = r(-1)*s(-1) = (-1 + 4)*(-1)² = 3*1 = 3

Answer:

48

Step-by-step explanation:

just sub in the formula

Answer:

y = 2x -3

Step-by-step explanation:

to solve for y, simply isolate the y so in this case move 2x to the right side of the equation in which it becomes -y= -2x +3 and then divide by -1 which is beside the -y essentially cause y cannot be negative so then the equation becomes y = 2x -3

Answer:

y=2x-3

Step-by-step explanation:

2x-y=3

-2x on both sides of the equal sign which leaves you with -y=-2x+3

divide both sides by negative 1

y=2x-3

Answer:

1/15 yards

Step-by-step explanation:

Total yards of packing tape = 4 yards

Yards used for his father = 1 3/5 yards

Yards used for another package = 2 1/3 yards

Total yards used = 1 3/5 + 2 1/3

= 8/5 + 7/3

= 24+35/15

= 59/15 yards

How many yards of packing tape does Carlos have left

Total yards left = Total yards of packing tape - Total yards used

= 4 - 59/15

= 60-59/15

= 1/15

Total yards left = 1/15 yards

Answer: equilateral

Step-by-step explanation: